

Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Community
Ask the community for help and clear up your study doubts
Discover the best universities in your country according to Docsity users
Free resources
Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors
Formulas for calculating the areas and perimeters of various two-dimensional shapes, including squares, rectangles, parallelograms, trapezoids, and triangles. Additionally, it includes formulas for the volumes and surface areas of three-dimensional figures such as rectangular figures, solids (cubes), right circular figures (cylinders, spheres, and cones), and frustums of right circular cones.
Typology: Cheat Sheet
1 / 2
This page cannot be seen from the preview
Don't miss anything!
Areas and Perimeters
Figure Sketch Area Perimeter
Square A = s
2
P = 4 s
Rectangle A = lw P = 2 l + 2 w
Parallelogram A = lh P = 2 l + 2 w
Trapezoid A = ( )
1 2
hb b P =
1 2 1 2
s s b b
Triangle A = bh
P = s s b
1 2
Area and Circumference of a Circle
Circle A =
2
r C = 2 r or C = d
l
w
l
s
h
b 1
b
2
h
s 2
s
1
s
1
s
2
h
b
r
d
w
Volumes and Surface Areas of Three- Dimensional Figures
Figure Sketch Volume Surface Area (S)
Rectangular V = lwh S = 2 lh + 2 wh + 2 wl
Solid
Cube V = s
3
S = 6 s
2
Right
Circular V = r h
2
2
2 rh 2 r
Cylinder
Sphere V =
3
r
2
4 r
Right
Circular V = r h
2
2 2
r r h
Cone
Square or
Rectangular V = lwh
Pyramid
Frustum of
Right Circular V =
2 2
r rR R h
s ( R r )
Cone
w
h l s s s h r r r
h
h
l
w
r
s
h